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Hunter-Best [27]
3 years ago
7

Which expression shows 6a + 8b + 10 written as the product of the GCF times a sum?

Mathematics
1 answer:
Fynjy0 [20]3 years ago
6 0

Answer::112

Step-by-step explanation:

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Find the value of y.
snow_tiger [21]

Answer:

  y = √55

Step-by-step explanation:

All the triangles are similar, so the ratio of short side to hypotenuse is the same for all:

  5/y = y/(5+6)

  y^2 = 55

  y = √55

_____

<em>Comment on the geometry</em>

There are three "geometric mean" relationships that apply to this geometry.

  1. the altitude BD is the geometric mean of BC and BA (√30)
  2. the long side of the large triangle is the geometric mean of the longer segment of the hypotenuse and the whole hypotenuse (x = √66)
  3. the short side of the large triangle is the geometric mean of the shorter segment of the hypotenuse and the whole hypotenuse (y = √55)

If you were aware of the last of these relationships, you could write down the answer without any "work."

  y = √(5(5 +6)) = √55

__

The geometric mean is the n-th root of the product of n numbers. When there are 2 numbers, it is the square root of their product.

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What is the mean absolute deviation of the data set?
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15 + 16 + 15 + 8 + 6 = 60 divided by 5 = 12 
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